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Find the Domain x-y=6

Problem

x−y=6

Solution

  1. Rewrite the equation in terms of y to express it as a function of x

y=x−6

  1. Identify the type of function.

ƒ(x)=x−6

  1. Analyze the expression for any restrictions. Since ƒ(x) is a linear polynomial, there are no square roots of negative numbers, no divisions by zero, and no logarithmic arguments that must be positive.

  2. Determine the domain. Because there are no restrictions on the input x the function is defined for all real numbers.

Final Answer

Domain: *(−∞,∞)


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